Find the volume between the cone $z = 2\cos \theta $ and the sphere $x^2+y^2+z^2=4$.
For this problem, I have considered that the radius of the sphere is $2$. But after that, I am not quite sure how to set the limits of integration.
I have tried graphing the problem and it shows a displaced cone. I am not sure how this affects my limits either.
Thanks in advance.